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Finding the Fourth Proportional to 9,002.10, 13,507.20 and 4,069.20

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Solution

The fourth proportional to 9,002.10, 13,507.20 and 4,069.20 is: 6,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.10 : 13,507.20 = 4,069.20 : x
  2. Step 2: Convert to fraction form
    9,002.10/13,507.20 = 4,069.20/x
  3. Step 3: Cross multiply
    9,002.10x = 13,507.20 × 4,069.20
  4. Step 4: Simplify right side
    9,002.10x = 54,963,498.24
  5. Step 5: Solve for x
    x = 54,963,498.24/9,002.10
  6. Step 6: Final answer
    x = 6,105.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.